OFFSET
1,5
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..91 (rows 1..13)
Wikipedia, Hypergraph
FORMULA
T(n, k) = Sum_{d = 0..n} (-1)^(n-d)*binomial(n,d)*2^binomial(d,k).
EXAMPLE
Triangle begins:
1;
1, 1;
1, 4, 1;
1, 41, 11, 1;
1, 768, 958, 26, 1;
1, 27449, 1042642, 32596, 57, 1;
...
MATHEMATICA
Table[Sum[(-1)^(n-d)*Binomial[n, d]*2^Binomial[d, k], {d, 0, n}], {n, 10}, {k, n}]
PROG
(PARI) T(n, k) = sum(d = 0, n, (-1)^(n-d)*binomial(n, d)*2^binomial(d, k)) \\ Andrew Howroyd, Jan 16 2024
KEYWORD
nonn,tabl
AUTHOR
Gus Wiseman, Jun 18 2018
STATUS
approved